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Operator Subadditivity of the 𝒟-Logarithmic Integral Transform for Positive Operators in Hilbert Spaces


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[1] R. Bhatia, Matrix Analysis, Graduate Texts in Mathematics, 169, Springer-Verlag, New York, 1997.10.1007/978-1-4612-0653-8Search in Google Scholar

[2] S.S. Dragomir, Operator monotonicity of an integral transform of positive operators in Hilbert spaces with applications, Preprint RGMIA Res. Rep. Coll. 23 2020, Art. 65. Available at https://rgmia.org/papers/v23/v23a65.pdf.Search in Google Scholar

[3] J.I. Fujii and Y. Seo, On parametrized operator means dominated by power ones, Sci. Math. 1 1998, no. 3, 301–306.Search in Google Scholar

[4] T. Furuta, Concrete examples of operator monotone functions obtained by an elementary method without appealing to Löwner integral representation, Linear Algebra Appl. 429 2008, no. 5-6, 972–980.10.1016/j.laa.2006.11.023Search in Google Scholar

[5] T. Furuta, Precise lower bound of f(A)– f(B) for A > B > 0 and non-constant operator monotone function f on [0; ∞), J. Math. Inequal. 9 2015, no. 1, 47–52.10.7153/jmi-09-04Search in Google Scholar

[6] E. Heinz, BeitrĂ€ge zur Störungstheorie der Spektralzerlegung, Math. Ann. 123 1951, 415–438.10.1007/BF02054965Search in Google Scholar

[7] K. Löwner, Über monotone Matrixfunktionen, Math. Z. 38 1934, no. 1, 177–216.10.1007/BF01170633Search in Google Scholar

[8] M.S. Moslehian and H. Najafi, An extension of the Löwner-Heinz inequality, Linear Algebra Appl. 437 2012, no. 9, 2359–2365.10.1016/j.laa.2012.05.027Search in Google Scholar

[9] H. Zuo and G. Duan, Some inequalities of operator monotone functions, J. Math. Inequal. 8 2014, no. 4, 777–781.10.7153/jmi-08-58Search in Google Scholar

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Mathematics, General Mathematics